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On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in \(n\)-Banach spaces - MaRDI portal

On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in \(n\)-Banach spaces (Q417224)

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scientific article; zbMATH DE number 6034264
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On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in \(n\)-Banach spaces
scientific article; zbMATH DE number 6034264

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    On the Hyers-Ulam stability of a general mixed additive and cubic functional equation in \(n\)-Banach spaces (English)
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    14 May 2012
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    Summary: We determine the generalized Hyers-Ulam stability of the mixed additive-cubic functional equation in \(n\)-Banach spaces by the direct method. In addition, we show under some suitable conditions that an approximately mixed additive-cubic function can be approximated by a mixed additive and cubic mapping.
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